समीकरण `sec^(2)theta - 4 tan theta + 2 =0` को हल कीजिए |

Explanation

`sec^(2)theta - 4 tan theta + 2 =0`
`rArr " " 1+tan^(2)theta - 4 tan theta + 2 = 0`
`rArr " " tan^(2)theta - 4 tan theta + 3 =0`
`rArr " " tan^(2)theta - 3 tan theta - tan theta + 3 =0`
`rArr tan theta (tan theta - 3)-1 (tan theta - 3)=0`
`rArr " " (tan theta - 3)(tan theta -1)=0`
`rArr " " tan theta = 3` या `tan theta = 1 = "tan"(pi)/(4)`
`rArr " " theta = n pi + alpha`, जहाँ `tan alpha = 3` अथवा `theta = n pi + (pi)/(4)`.